SEISMIC REACTION OF NONLINEAR SYSTEM OF SEISMIC DEFENSE WITH KINEMATIC SUPPORTS

Objectives. The aim of the study is to obtain formulae for calculating probability of seismic response characteristics of nonlinear seismic isolation system with the specified function "force-shifting", characteristic of seismic isolation system with kinematic pillars and score the effectiveness of this system of seismic isolation in multi-storey buildings.

Method. The studies were performed analytical techniques and numerical method of statistical tests.

Result. Analytical expressions to calculate the mean square value of one massive seismic isolation system with displacement kinematic pillars and the effectiveness of the application of graphs of kinematic seismic isolation bearings for multi-storey buildings based on the results of numerical experiments using the method of statistical tests.

Conclusion. Application of kinematic supports, with "power-move" described by the specified in the work of a non-linear function, allows you to reduce the seismic loads on buildings and distortions of floors 2 or more times. Kinematic bases are more effective when high-frequency effects and in the buildings of the constructive solution of a height of not more than 5 floors.

1. Ayzenberg, YA.M. Sooruzheniya s vyklyuchayushchimisya svyazyami dlya seysmicheskikh rayonov / YA.M. Ayzenberg. – M.: Stroyizdat, 1976. - 229 s. [Eisenberg, J.M. Buildings with vykljuchajushhimisja links for seismic areas /J.M. Eisenberg. - M.: Stroiizdat, 1976. - 229 p. (In Russ)]

2. Polyakov, V.S. Sovremennyye metody seysmozashchity zdaniy / V.S. Polyakov, N.SH. Kilimnik, A.V. Cherka-shin. - M.: Stroyizdat, 1989.-320 s. [Polyakov V.S. Modern methods of seismic protection of buildings /V.S Polyakov, N.SH. Kylymnyk., A.V. Cherkashin. - M.: Stroiizdat, 1989.-320 p. (In Russ)]

3. Cherepinskiy, YU.D. K seysmostoykosti zdaniy na kinematicheskikh oporakh /Osnovaniya, fundamenty i me-khanika gruntov / YU.D. Cherepinskiy. - 1972.-№3.- S.13-15 [Cherepinskij, Y.D. The earthquake resistance of buildings on kine-matic/base supports, foundations and soil mechanic / Y.D. Cherepinskij. -1972.-№3.- P.13-15. (In Russ)]

4. Cherepinskiy, YU.D. Seysmoizolyatsiya zdaniy (sbornik statey) / YU.D. Cherepinskiy - Moskva, 2009.-358 s. [Cherepin-skij, Y.D. seismic isolation buildings (collection of articles)/Y.D. Cherepinskij-Moscow, 2009. - 358 p. (In Russ)]

5. Savinov, O.A. Seysmoizolyatsiya sooruzheniy (kontseptsiya, printsipy ustroystva, osobennosti raschota) //O.A. Savinov / Izbrannyye stat'i i doklady "Dinamicheskiye problemy stroitel'noy tekhniki". - Sankt-Peterburg, 1993. - S.155-178. [Savinov, O.A. Seismic isolation structures (concept, principles, especially calculation devices)//O.A. Savinov /Featured articles and reports "Dynamic problems of construction machinery". -St. Peterburg, 1993. - P. 155-178. (In Russ)]

6. Uzdin, A.M. Osnovy teorii seysmostoykosti i seysmostoykogo stroitel'stva zdaniy i sooruzheniy // A.M. Uzdin, T.A. Sandovich, Samikh Amin Al'-Naser-Mokhomad. -SPB.: Izd. VNIIG, 1993. - 175 s. [Uzdin, A.M. Foundations of the theory of seismic and earthquake-proof construction of buildings and structures//A.M. Uzdin, T.A. Sandovich, Amin Al-Nasser-Mohomad. -St. Petersburg: Izd. VNIIG, 1993. -175 p. (In Russ)]

7. Uzdin, A.M. Seysmostoykiye konstruktsii transportnykh zdaniy i sooruzheniy / /A.M. Uzdin, S.V. Yeliza-rov, T.A. Belash. - M.: FGBOU Uchebno-metodicheskiy tsentr po obrazovaniyu na zheleznodorozhnom transpor-te, 2012. - 500 s. [Uzdin, A.M. Earthquake resistant constructions of buildings and structures //A.M. Uzdin, S.V. Elizarov, T.A. Belash. - М.: FEDERAL training centre for education on rail safety 2012. -500 p. (In Russ)]

8. Skiner, R.I. An introduction to seismic isolation / R.I. Skiner, W.H. Robinson, G.H. McVerry.-New Zealand: John Wiley & Sons, 1993. - 353 p.

9. Kelly, J.M. Earthquake resistant design with rubber. Springer. 1997, Kelly, J.M. Earthquake resistant design with rubber. Springer / J.M. Kelly. - London: Springer - Verl., 1997. - 243 p.

10. Nazin, V.V. Industrializatsiya stroitel'stva sooruzheniy seysmostoykoy konstruktsii / V.V. Nazin. - Kiyev: Budivel'nik, 1977. - 90 s. [Nazin, V. V. Industrialization of construction of earthquake-resistant structures / V. V. Nazin. - Kiev: Budiv-elnik, 1977. - 90 p. (In Russ)]

11. Kurzanov, A.V. Naturnyye issledovaniya trokhetazhnogo fragmenta i pyatietazhnogo zdaniya na seysmoizo-liruyush-chikh oporakh // A.V. Kurzanov, A.M. Akhmedov // Eksperss-informatsiya VNIIIS. Ser. 14. Seysmostoy-koye stroitel'stvo. 1994. - Vyp. 2-3. - S. 24-32. 1 [Kurzanov, A. V. Field studies of a three-story fragment and five-storey buildings with seismic isolation bearings // V. A. Kurzanov, A. M. Akhmedov // Express-information de La direction. Ser. 14. Earthquake engi-neering. 1994. - Vol. 2-3. - P. 24-32. (In Russ)]

12. Cherepinskiy, YU.D. Seysmoizolyatsiya zhilykh zdaniy / YU.D. Cherepinskiy. - Alma-Aty, 2003. -157 s. [Cherepansky J. D., seismic isolation of residential buildings / yd Cherepansky. - Alma-ATA, 2003. -157 p. (In Russ)]

13. Aubakirov, A.T. Osobennosti zadaniya seysmicheskogo vozdeystviya dlya obosnovaniya proyekta seysmoizo-liruyush-chikh fundamentov / A.T. Aubakirov // Izvestiya VNIIG. – 1989. - T. 212. - S. 102 - 109 [Aubakirov, T. A. features of setting of the seismic impact for substantiation of the project of seismic isolation foundations / A. T. Aubakirov // Izvestiya VNIIG. - 1989. - Vol. 212. - P. 102 – 109. (In Russ)]

14. Yusupov A.K. Proyektirovaniye seysmostoykikh zdaniy na kinematicheskikh oporakh /A.K. Yusupov – Makhach-kala: Izdatel'stvo «Lotos», 2006. - 422 s. [Yusupov A. K., earthquake resistant Design of buildings on kinematic supports /A. K. Yusupov – Makhachkala: Publishing house "Lotus", 2006. – 422 с. (In Russ)]

15. Avidon G.E., Karlina Ye.A. Osobennosti kolebaniy zdaniy zdaniy s seysmoizoliruyushchimi fundamenta-mi / A.M. Kurzanova i YU.D. Cherpinskogo // Seysmostoykoye stroitel'stvo. Bezopasnost' sooruzheniy. №1, 2008. - S. 42–44. [Avidan G. E., Carlin, E. A. Vibration Characteristics of buildings with seismic isolation Foundation / Kurzanov A. M. and J. D. Karpinskogo // Earthquake-resistant construction. Safety of structures. No. 1, 2008. C. 42-4415. Dwight, G.B. Tables of integrals and other mathematical formulas /G.B. Dwight - M.: Science, 1977. - 224 p. (In Russ)]

16. Abakarov A.D. Vliyaniye parametrov nelineynosti na seysmicheskuyu reaktsiyu zdaniy s kinematicheskimi oporami / A.D. Abakarov, KH.R. Zaynulabidova / Seysmostoykoye stroitel'stvo. Bezopasnost' sooruzheniy. №6, 2003. - S. 35-38. [Abakarov A. D. Influence of parameters of nonlinearity on the seismic response of buildings with kinematic supports / D. A. Abakarov, R. H. Zainalabidov / Earthquake-resistant construction. Safety of structures. No. 6, 2003. P. 35-38 (In Russ)]

17. Tikhonov, V.I. Markovskiye sluchaynyye protsessy / V.I. Tikhonov, M.A. Mironov - M.: Sovet. radio, 1977. - 485 s. [Tikhonov, V. I. Markov random processes / V. I. Tikhonov and M. A. Mironov, M.: the Council. radio, 1977. - 485 p. (In Russ)]

18. Gusev, A.S. Raschot konstruktsiy pri sluchaynykh vozdeystviyakh / A.S. Gusev, V.A. Svetlitskiy - M.: Ma-shinostroy-eniye, 1984. - 240 s. [Gusev, A. S. analysis of structures for random effects / A. S. Gusev, V. A. Svetlitsky - M.: Mashi-nostroenie, 1984. - 240 p. (In Russ)]

19. Kirikov B.A. Raschot nelineynykh sistem s odnoy stepen'yu svobody na intensivnyye seysmicheskiye voz-deystviya / B.A. Kirikov – Stroitel'naya mekhanika i raschot sooruzheniy. №5, 1983. S. 38-42. [Kirikov B. A. calculation of the nonlin-ear systems with one degree of freedom for intensive seismic effects / B. A. Kirikov – the Building mechanics and calculation of structures. No. 5, 1983. - P. 38-42. (In Russ)]

20. Vibratsii v tekhnike: Spravochnik v 6-ti t./Red. Sovet. V.N. Chelomey (pred.) – M. Mashinostroyeniye, 1979 – t.2. Kolebaniya nelineynykh mekhanicheskikh sistem /Pod. Red. N.N. Blekhmana. – 1979 – 351 s. [Vibration in engineering: Handbook in 6 volumes/Ed. Council. V. N. Chelomey (pred.)- M. mechanical engineering, 1979-vol. 2. Oscillations of non-linear mechanical systems / Sub. Ed. N. N. Blechman. 1979. – 351 p. (In Russ)]

21. Dvayt G.B. Tablitsy integralov i drugiye matematicheskiye formuly /G.B. Dvayt - M.: Nauka, 1977. - 224 s.[Dwight H. B. Tables of integrals and other mathematical formulas /H. B. Dwight, M.: Nauka, 1977. - 224 p. (In Russ)]